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5890040 = 2351347241
BaseRepresentation
bin10110011101111111111000
3102002020121122
4112131333320
53001440130
6330124412
7101031062
oct26357770
912066548
105890040
113363302
121b80708
1312b2c40
14ad4732
157b52e5
hex59dff8

5890040 has 64 divisors (see below), whose sum is σ = 14636160. Its totient is φ = 2119680.

The previous prime is 5890013. The next prime is 5890051. The reversal of 5890040 is 400985.

5890040 = 202 + 212 + ... + 2602.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 5889991 and 5890009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24320 + ... + 24560.

It is an arithmetic number, because the mean of its divisors is an integer number (228690).

Almost surely, 25890040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5890040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318080).

5890040 is an abundant number, since it is smaller than the sum of its proper divisors (8746120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5890040 is a wasteful number, since it uses less digits than its factorization.

5890040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 5890040 is about 2426.9404607448. The cubic root of 5890040 is about 180.5951493796.

The spelling of 5890040 in words is "five million, eight hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 47 52 65 94 104 130 188 235 241 260 376 470 482 520 611 940 964 1205 1222 1880 1928 2410 2444 3055 3133 4820 4888 6110 6266 9640 11327 12220 12532 15665 22654 24440 25064 31330 45308 56635 62660 90616 113270 125320 147251 226540 294502 453080 589004 736255 1178008 1472510 2945020 5890040